If permissions are restrictive for a user that is in several groups then all the groups will have to

I am wanting to use the habtm(“has and belongs to many”) plugin for Formo( a plugin for Kohana that creates forms) to set a Binary Flag in the pivot table. The Binary Flags in the pivot table can represent different things. I am using the Binary flag to represent permissions and groups:

I am building a permissions system on the Kohana framework(PHP) using binary numbers and bitwise operators. Below are the 5 binary flags